GCF of 108 and 350

What is the GCF of 108 and 350?


GCF of 108 and 350

is 2

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What is the Greatest Common Factor of 108 and 350? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 108 and 350 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 108.
    2, 2, 3, 3, 3
  2. Find the prime factors of the second number 350.
    2, 5, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 108.
    1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
  2. Find the factors of the second number 350.
    1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 108 and 350 is 2.

GCD (Greatest Common Divisor) of 108 and 350 is 2.

HCF (Highest Common Factor) of 108 and 350 is 2.

Number GCF LCM
108 & 345 3 12420
108 & 346 2 18684
108 & 347 1 37476
108 & 348 12 3132
108 & 349 1 37692
108 & 350 2 18900
108 & 351 27 1404
108 & 352 4 9504
108 & 353 1 38124
108 & 354 6 6372
108 & 355 1 38340